Finite Math Examples

$4 y - 3 x = 9 - 3 x$

Step 1

Solve the equation for $y$ .

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Step 1.1

Move all terms not containing $y$ to the right side of the equation.

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Step 1.1.1

Add $3 x$ to both sides of the equation.

$4 y = 9 - 3 x + 3 x$

Step 1.1.2

Combine the opposite terms in $9 - 3 x + 3 x$ .

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Step 1.1.2.1

Add $- 3 x$ and $3 x$ .

$4 y = 9 + 0$

Step 1.1.2.2

Add $9$ and $0$ .

$4 y = 9$

Step 1.2

Divide each term in $4 y = 9$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 y = 9$ by $4$ .

$\frac{4 y}{4} = \frac{9}{4}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $4$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{9}{4}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{9}{4}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ .

Linear